Subgraph Finding in Quantum Networks:
Izumi, Le Gall, and Magniez [1]} have shown that in a quantum \(\mathsf {CONGEST}\)  model, triangle detection can be solved within \(\tilde{O}(n^{1/4})\)  rounds, using a distributed version developed by Izumi and Le Gall in [2]} of a Grover Search [3]}. Later, Censor-Hillel, Fischer, Le Gall, Leitersdorf, and Oshman showed quantum triangle detection in \(\tilde{O}(n^{1/4})\)  rounds and clique detection for larger cliques, using nested Grover searchers [4]}.
